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245091456 = 2732316863
BaseRepresentation
bin11101001101111…
…00110010000000
3122002011221021100
432212330302000
51000220411311
640153054400
76034146231
oct1646746200
9562157240
10245091456
11116390925
126a0b7400
133ba1443c
142479d088
15167b4a56
hexe9bcc80

245091456 has 96 divisors (see below), whose sum is σ = 728133120. Its totient is φ = 79050240.

The previous prime is 245091449. The next prime is 245091461. The reversal of 245091456 is 654190542.

245091456 is a `hidden beast` number, since 2 + 4 + 509 + 145 + 6 = 666.

245091456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 245091456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32281 + ... + 39143.

It is an arithmetic number, because the mean of its divisors is an integer number (7584720).

Almost surely, 2245091456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364066560).

245091456 is an abundant number, since it is smaller than the sum of its proper divisors (483041664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245091456 is a wasteful number, since it uses less digits than its factorization.

245091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 245091456 is about 15655.3970246685. The cubic root of 245091456 is about 625.8103247308.

The spelling of 245091456 in words is "two hundred forty-five million, ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 6863 8928 11904 13726 17856 20589 27452 35712 41178 54904 61767 82356 109808 123534 164712 212753 219616 247068 329424 425506 439232 494136 638259 658848 851012 878464 988272 1276518 1317696 1702024 1914777 1976544 2553036 2635392 3404048 3829554 3953088 5106072 6808096 7659108 7906176 10212144 13616192 15318216 20424288 27232384 30636432 40848576 61272864 81697152 122545728 245091456